When Hiro appears before Sylar at the end of the episode, he has his sword with the handle pointing towards Sylar and the blade pointing behind him. In the shot immediately following that it is now reversed.
After the fight with Sylar when Peter starts to become radioactive, there is a far off shot of Peter glowing and we can see the bright yellow of his glow emphasized on the ground. However, in the next shot we are right next to Peter and there is no glow on the ground at all, only on his hands.
Hiro's father gives him the sword (on min 5:08), but when Hiro appears in Isaac's loft, he appears without the sword (22:30), and then again, he appears in Yamagato Industries with the two swords (30:16).
After Nathan flies a nuclear charged Peter into the air he explodes, yet the lights and the power in New York City remain undisrupted. All of the power should have gone out due to the Compton effect. When a nuclear explosion occurs in the atmosphere, it creates an E.M.M.A. pulse; a photon wave of up to 50 Billion Megawatts. (Such a feat was displayed in an earlier episode when Ted Sprague shorted out the power in the Primatech Paper building in order to escape.)